Twistor quotients of hyperkaehler manifolds

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dc.creatorBielawski, Roger
dc.date2000-06-20
dc.date.accessioned2026-07-07T04:35:58Z
dc.date.available2026-07-07T04:35:58Z
dc.descriptionWe generalize the hyperkaehler quotient construction to the situation where there is no group action preserving the hyperkaehler structure but for each complex structure there is an action of a complex group preserving the corresponding complex symplectic structure. Many (known and new) hyperkaehler manifolds arise as quotients in this setting. For example, all hyperkaehler structures on semisimple coadjoint orbits of a complex semisimple Lie group $G$ arise as such quotients of $T^*G$. The generalized Legendre transform construction of Lindstroem and Rocek is also explained in this framework.
dc.identifierhttps://arxiv.org/abs/math/0006142
dc.identifierhttp://arxiv.org/abs/math/0006142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59437
dc.subjectDifferential Geometry
dc.subject53C26
dc.titleTwistor quotients of hyperkaehler manifolds
dc.typetext

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